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<p>We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on AdS<sub>3</sub> × 𝑋 in the path integral formalism. By restricting the path integral to only include worldsheets which live near the asymptotic boundary, we compute correlation functions of spectrally-flowed vertex operators and find a precise agreement with the perturbative correlators in the recently-proposed dual CFT at all orders in conformal perturbation theory. We thus provide highly nontrivial evidence for the bulk/boundary duality.</p>

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Unravelling AdS3/CFT2 near the boundary

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月8日

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  • Bob Knighton,
  • Vit Sriprachyakul

摘要

We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on AdS3 × 𝑋 in the path integral formalism. By restricting the path integral to only include worldsheets which live near the asymptotic boundary, we compute correlation functions of spectrally-flowed vertex operators and find a precise agreement with the perturbative correlators in the recently-proposed dual CFT at all orders in conformal perturbation theory. We thus provide highly nontrivial evidence for the bulk/boundary duality.